The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". We use cookies to make wikiHow great. The question is asking for the least positive coterminal angle, so you must add until you reach a positive angle. -frac 5 4 radians B. Therefore the ordered pair of points is \((-1, 0)\). Find an angle [latex]\beta [/latex] that is coterminal with [latex]\frac{19\pi }{4}[/latex], where [latex]0\le \beta <2\pi [/latex]. It also shows you how to convert radians to degrees and degrees to radians. This is found by subtracting 2 rad once, which gives a negative angle. Once that number is found, it is multiplied by 360 and subtracted from 785 degrees. To find a positive coterminal angle, we can add $2\pi$ to the given angle: $\pi + 2\pi = 3\pi$. If the result is still greater than [latex]2\pi [/latex], subtract [latex]2\pi [/latex] again until the result is between [latex]0[/latex] and [latex]2\pi [/latex]. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. - 420 0; 5/4 radians 60 0; Find the angle between - 360 0 and 0 0 (if in degrees) or between 2 rad . From your studies at school, you know that this is the equivalent of a "negative angle". If told to find the least positive angle coterminal with 785 degrees you can use the following calculation process shown below. Answers may vary. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. [1] So the ordered pair is \(\left(\dfrac{\sqrt{3}}{2},\dfrac{1}{2} \right)\). Give the quadrant of the angle, if applicable. Step 2/4 Lets say your original angle is -17/4 rad. (Trig) how do you find largest negative coterminal angle and smallest This cookie is set by GDPR Cookie Consent plugin. Find the value of the expression: \(\tan 270^{\circ}\). Coterminal and Reference Angles - Expii For example, 100 and 460 are coterminal for this reason, as is 260. Below is a 30 angle in standard position. This trigonometry video tutorial explains how to find a positive and a negative coterminal angle given another angle in degrees or in radians using the unit circle. In the example above, the angle is 30. The cookie is used to store the user consent for the cookies in the category "Performance". We will use the above formula to find the coterminal angles. This gives you the least negative coterminal angle. Coterminal Angle Calculator- Free online Calculator - BYJU'S $$\frac{7 \pi}{(1)}$$, Find a positive angle and a negative angle that are coterminal with the given angle. Therefore the ordered pair is \(\left(\dfrac{\sqrt{2}}{2},\dfrac{\sqrt{2}}{2}\right)\) and the cosine value is \(\dfrac{\sqrt{2}}{2}\). what is the largest negative coterminal angle of -417? - Questions LLC how to find the greatest negative coterminal angle; for (var i=0; i \n\/p> For example, if your original angle was 30, you may write 30 + 360. Any angle has infinitely many coterminal angles because each time we add 360 to that angleor subtract 360 from itthe resulting value has a terminal side in the same location. NCERT Solutions Class 12 Business Studies, NCERT Solutions Class 12 Accountancy Part 1, NCERT Solutions Class 12 Accountancy Part 2, NCERT Solutions Class 11 Business Studies, NCERT Solutions for Class 10 Social Science, NCERT Solutions for Class 10 Maths Chapter 1, NCERT Solutions for Class 10 Maths Chapter 2, NCERT Solutions for Class 10 Maths Chapter 3, NCERT Solutions for Class 10 Maths Chapter 4, NCERT Solutions for Class 10 Maths Chapter 5, NCERT Solutions for Class 10 Maths Chapter 6, NCERT Solutions for Class 10 Maths Chapter 7, NCERT Solutions for Class 10 Maths Chapter 8, NCERT Solutions for Class 10 Maths Chapter 9, NCERT Solutions for Class 10 Maths Chapter 10, NCERT Solutions for Class 10 Maths Chapter 11, NCERT Solutions for Class 10 Maths Chapter 12, NCERT Solutions for Class 10 Maths Chapter 13, NCERT Solutions for Class 10 Maths Chapter 14, NCERT Solutions for Class 10 Maths Chapter 15, NCERT Solutions for Class 10 Science Chapter 1, NCERT Solutions for Class 10 Science Chapter 2, NCERT Solutions for Class 10 Science Chapter 3, NCERT Solutions for Class 10 Science Chapter 4, NCERT Solutions for Class 10 Science Chapter 5, NCERT Solutions for Class 10 Science Chapter 6, NCERT Solutions for Class 10 Science Chapter 7, NCERT Solutions for Class 10 Science Chapter 8, NCERT Solutions for Class 10 Science Chapter 9, NCERT Solutions for Class 10 Science Chapter 10, NCERT Solutions for Class 10 Science Chapter 11, NCERT Solutions for Class 10 Science Chapter 12, NCERT Solutions for Class 10 Science Chapter 13, NCERT Solutions for Class 10 Science Chapter 14, NCERT Solutions for Class 10 Science Chapter 15, NCERT Solutions for Class 10 Science Chapter 16, NCERT Solutions For Class 9 Social Science, NCERT Solutions For Class 9 Maths Chapter 1, NCERT Solutions For Class 9 Maths Chapter 2, NCERT Solutions For Class 9 Maths Chapter 3, NCERT Solutions For Class 9 Maths Chapter 4, NCERT Solutions For Class 9 Maths Chapter 5, NCERT Solutions For Class 9 Maths Chapter 6, NCERT Solutions For Class 9 Maths Chapter 7, NCERT Solutions For Class 9 Maths Chapter 8, NCERT Solutions For Class 9 Maths Chapter 9, NCERT Solutions For Class 9 Maths Chapter 10, NCERT Solutions For Class 9 Maths Chapter 11, NCERT Solutions For Class 9 Maths Chapter 12, NCERT Solutions For Class 9 Maths Chapter 13, NCERT Solutions For Class 9 Maths Chapter 14, NCERT Solutions For Class 9 Maths Chapter 15, NCERT Solutions for Class 9 Science Chapter 1, NCERT Solutions for Class 9 Science Chapter 2, NCERT Solutions for Class 9 Science Chapter 3, NCERT Solutions for Class 9 Science Chapter 4, NCERT Solutions for Class 9 Science Chapter 5, NCERT Solutions for Class 9 Science Chapter 6, NCERT Solutions for Class 9 Science Chapter 7, NCERT Solutions for Class 9 Science Chapter 8, NCERT Solutions for Class 9 Science Chapter 9, NCERT Solutions for Class 9 Science Chapter 10, NCERT Solutions for Class 9 Science Chapter 11, NCERT Solutions for Class 9 Science Chapter 12, NCERT Solutions for Class 9 Science Chapter 13, NCERT Solutions for Class 9 Science Chapter 14, NCERT Solutions for Class 9 Science Chapter 15, NCERT Solutions for Class 8 Social Science, NCERT Solutions for Class 7 Social Science, NCERT Solutions For Class 6 Social Science, CBSE Previous Year Question Papers Class 10, CBSE Previous Year Question Papers Class 12, JEE Main 2023 Question Papers with Answers, JEE Main 2022 Question Papers with Answers, JEE Advanced 2022 Question Paper with Answers.